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Finding the Third Proportional to 10,101,236 and 22,092,037

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Solution

The third proportional to 10,101,236 and 22,092,037 is: 48,316,671.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,101,236 : 22,092,037 = 22,092,037 : x
  2. Step 2: Convert to fraction form
    10,101,236/22,092,037 = 22,092,037/x
  3. Step 3: Cross multiply
    10,101,236x = 22,092,037 × 22,092,037
  4. Step 4: Simplify right side
    10,101,236x = 488,058,098,809,369
  5. Step 5: Solve for x
    x = 488,058,098,809,369/10,101,236
  6. Step 6: Final answer
    x = 48,316,671.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.